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On the generalized minimal massive gravity

Authors :
M. R. Setare
Source :
Nuclear Physics B, Nuclear Physics B, Vol 898, Iss C, Pp 259-275 (2015)
Publication Year :
2015
Publisher :
Elsevier BV, 2015.

Abstract

In this paper we study the Generalized Minimal Massive Gravity (GMMG) in asymptotically $AdS_3$ background. The generalized minimal massive gravity theory is realized by adding the CS deformation term, the higher derivative deformation term, and an extra term to pure Einstein gravity with a negative cosmological constant. We study the linearized excitations around the $AdS_3$ background and find that at special point (tricritical) in parameter space the two massive graviton solutions become massless and they are replaced by two solutions with logarithmic and logarithmic-squared boundary behavior. So it is natural to proposed that GMMG model could also provide a holographic description for a $3-$rank Logarithmic Conformal Field Theory (LCFT). We calculate the energy of the linearized gravitons in $AdS_3$ background, and show that the theory is free of negative-energy bulk modes. Then we obtain the central charges of the CFT dual explicitly and show GMMG also avoids the aforementioned "bulk-boundary unitarity clash". After that we show that General Zwei-Dreibein Gravity (GZDG) model can reduce to GMMG model. Finally by a Hamiltonian analysis we show that the GMMG model has no Boulware-Deser ghosts and this model propagate only two physical modes.<br />23 pages, new sections added

Details

ISSN :
05503213
Volume :
898
Database :
OpenAIRE
Journal :
Nuclear Physics B
Accession number :
edsair.doi.dedup.....63cded83b6b67299b544249acc424068
Full Text :
https://doi.org/10.1016/j.nuclphysb.2015.07.006